## Prove that if diagonal of quadrilateral bisect each other then it is parallelogram

Consider the below quadrilateral ABCD in which diagonals bisect each other. Given:ABCD is a quadrilateral.AC & BD are diagonals bisecting each other.Hence, AO = OC and BO = OD. To Prove:Prove that the given quadrilateral is a parallelogram. Proof:Consider triangle AOB and COD; AO = OC (given)∠AOB = ∠COD ( vertically opposite angle)BO = OD …

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